792840048 has 320 divisors, whose sum is σ = 2849817600. Its totient is φ = 183214080.

The previous prime is 792840047. The next prime is 792840137. The reversal of 792840048 is 840048297.

792840048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 792839991 and 792840009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792840043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1393108 + ... + 1393676.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^792840048 is an apocalyptic number.

792840048 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792840048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424908800).

792840048 is an abundant number, since it is smaller than the sum of its proper divisors (2056977552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

792840048 is a wasteful number, since it uses less digits than its factorization.

792840048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 792840048 is about 28157.4155063990. The cubic root of 792840048 is about 925.5400004485.

The spelling of 792840048 in words is "seven hundred ninety-two million, eight hundred forty thousand, forty-eight".